What is the 5423rd prime number?
The 5423rd prime number is 53149. The next prime is 53161 (a gap of 12) and the one before is 53147.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5423rd one is 53149.
- 2
53149 is prime because no prime up to ā53149 ā 230.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5423rd prime is close to 5423 Ć ln(5423) ā 46629, and here it is 53149.
- 4
53149 is a twin prime: 53147 and 53149 are both prime.
Primes around the 5423rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5420 | 53117 | 4 |
| 5421 | 53129 | 12 |
| 5422 | 53147 | 18 |
| 5423 | 53149 | 2 |
| 5424 | 53161 | 12 |
| 5425 | 53171 | 10 |
| 5426 | 53173 | 2 |
Questions
What is the 5423rd prime number?
53149.
Which prime number is 53149?
53149 is the 5423rd prime number.
What is the sum of the first 5423 primes?
135,973,028.